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Authors: SOMIA DJIAB, BRAHIM NOUIRI.
Published Online: 2023-03-20
Published Print: 2023-04-30
pp. 189-202
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This paper deals with a boundary value problem for a nonlinear differential equation with two conformable fractional derivatives and integral boundary conditions. The results of existence, uniqueness and stability of positive solutions are proved by using the Banach contraction principle, Guo-Krasnoselskii’s fixed point theorem and Hyers-Ulam type stability. Two concrete examples are given to illustrate the main results.
Mathematics Subject Classification (2010): 47H10, 26A33, 34B18.
Keywords: Conformable fractional derivatives, positive solutions, fixed point theorems, Hyers-Ulam stability.
